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GCD of 772, 382, 896, 827 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 772, 382, 896, 827 quickly. Get the easiest ways to solve the greatest common divisor of 772, 382, 896, 827 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 772, 382, 896, 827 with Factoring?

Given Input numbers are 772, 382, 896, 827

In the factoring method, we have to find the divisors of all numbers

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827


GCD of numbers is the greatest common divisor

So, the GCD (772, 382, 896, 827) = 1.

Find GCD of 772, 382, 896, 827 using Prime Factorization

Given numbers are 772, 382, 896, 827

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 382 are 2 x 191

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 827 are 827

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 772, 382, 896, 827 using LCM Formula

Given numbers are 772, 382, 896, 827

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(772, 382) = 147452

GCD(772, 382) = ( 772 x 382 ) / 147452

= 772 / 382

= 772


Step2:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2


Step3:

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

= 2 / 827

= 2


So, Greatest Common Divisor of 772, 382, 896, 827 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 772, 382, 896, 827

Given numbers are 772, 382, 896, 827
The greatest common divisor of numbers 772, 382, 896, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 382, 896, 827 is 1.

FAQs on GCD of 772, 382, 896, 827 Calculator

1. What is the GCD of 772, 382, 896, 827?

GCD of given numbers 772, 382, 896, 827 is 1


2. How to calculate the greatest common divisor of 772, 382, 896, 827?

We can find the highest common divisor of 772, 382, 896, 827 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 772, 382, 896, 827 i.e 1.


3. How can I use the GCD of 772, 382, 896, 827Calculator?

Out the numbers 772, 382, 896, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.